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Simplifying -24 = -11y + y2 Solving -24 = -11y + y2 Solving for variable 'y'. Reorder the terms: -24 + 11y + -1y2 = -11y + 11y + y2 + -1y2 Combine like terms: -11y + 11y = 0 -24 + 11y + -1y2 = 0 + y2 + -1y2 -24 + 11y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -24 + 11y + -1y2 = 0 Factor a trinomial. (-8 + y)(3 + -1y) = 0Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve: Simplifying -8 + y = 0 Solving -8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y = 0 + 8 y = 0 + 8 Combine like terms: 0 + 8 = 8 y = 8 Simplifying y = 8Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {8, 3}
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